101112102221120 has 112 divisors (see below), whose sum is σ = 253075475893248. Its totient is φ = 38403986903040.

The previous prime is 101112102221111. The next prime is 101112102221159. The reversal of 101112102221120 is 21122201211101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49130576 + ... + 51147215.

Almost surely, 2^{101112102221120} is an apocalyptic number.

101112102221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112102221120 is an abundant number, since it is smaller than the sum of its proper divisors (151963373672128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101112102221120 is a wasteful number, since it uses less digits than its factorization.

101112102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100277968 (or 100277958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101112102221120 its reverse (21122201211101), we get a palindrome (122234303432221).

The spelling of 101112102221120 in words is "one hundred one trillion, one hundred twelve billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".